Question
The amount of money that Sarah earns varies directly with the number of hours worked. If Sarah earns $320 for working 40 hours, determine the constant of proportionality.(1 point)
$ per hour. (REMEMBER to include your answer to the hundreths place: 2 numbers after the decimal.)
$ per hour. (REMEMBER to include your answer to the hundreths place: 2 numbers after the decimal.)
Answers
GPT-4o mini
To find the constant of proportionality, we need to determine how much Sarah earns per hour.
We know:
- Total earnings = $320
- Total hours worked = 40 hours
To find the earnings per hour, we use the formula:
\[
\text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours worked}} = \frac{320}{40}
\]
Calculating this gives:
\[
\text{Earnings per hour} = 8
\]
Therefore, the constant of proportionality, which represents Sarah's earnings per hour, is:
\[
\boxed{8.00}
\]
We know:
- Total earnings = $320
- Total hours worked = 40 hours
To find the earnings per hour, we use the formula:
\[
\text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours worked}} = \frac{320}{40}
\]
Calculating this gives:
\[
\text{Earnings per hour} = 8
\]
Therefore, the constant of proportionality, which represents Sarah's earnings per hour, is:
\[
\boxed{8.00}
\]